Mondays 5:10–6:25pm, 891 Evans, CCN 15536
We will explore the deformation theory of A∞ algebras
and categories, with special attention to the commutative case and
the role of
Kontsevich formality. The role of curved algebras and the
resulting problems may also be addressed, time permitting.
References will be updated.
Tentative schedule of lecturesDate |
Topic |
Speaker |
References |
9/10 |
Introduction and outline of the seminar |
Teleman |
|
9/17 |
Rational Homotopy I: DGAs |
Teleman |
2, 3, 4 |
9/24 |
Rational Homotopy II: DGLAs |
Kiran |
1, 3 |
10/1 | Kuranishi construction of a germ of deformation spaces |
Teleman |
5 |
10/8 |
Formality of Kahler manifolds |
Julian |
4 |
10/15 | Koszul duality for algebras | Chris Kuo | 6 |
10/22 |
Operads and examples: A∞, L∞,
Comm, En |
Yixuan | 10 |
10/26 |
Operads and examples II: A∞, L∞,
Comm, En |
Yixuan | 10. Note: Room 740 at 12pm |
10/29 | A∞ algebras and categories |
Meredith | 7, 8 |
11/5 |
Bar complex, Hochschild complex, loop spaces
and string topology? |
Kiran |
3 and more |
11/26 |
Bar complex, Hochschild complex, wrapped up |
Kiran |
|
11/30 |
HKR theorem and formality statements |
Teleman |
12. 12:10–1:30pm, 891 |
12/3 |
Kontsevich Formality |
Daniel |
11, 12, 13 |
12/5 |
Deligne conjecture and Formality of E2
Non-formality |
German |
14; 12:10–1:30pm, 891 |
Next term |
Curved algebras and their deformations |
9 |
(Berkeley Library and sometimes source links)